Which statement best describes the domain and range of p(x) = 6–x and q(x) = 6x?

Asked by maham237 @ 18/12/2020 in Mathematics viewed by 370 People

Answered by maham237 @ 18/12/2020

Answer:

a. p(x) and q(x) have the same domain and the same range.

Step-by-step explanation:

Which statement best describes the domain and range of p(x) = 6–x and q(x) = 6x? a. p(x) and q(x) have the same domain and the same range. b. p(x) and q(x) have the same domain but different ranges. c. p(x) and q(x) have different domains but the same range. d. p(x) and q(x) have different domains and different ranges.

Answer: The domain of a function is the set of all values for the independent variable (i.e the input values, x values).

The range of a function is the set of all values for the dependent variable (i.e the output values, y values).

Both p(x) = 6–x and q(x) = 6x are linear functions, the domain and range of a linear function is the set of all real numbers i.e for a linear function:

Domain = (-∞, ∞)

Range = (-∞, ∞)

Therefore p(x) and q(x) have the same domain and the same range.

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